The Oregonator is a set of differential equations proposed by R. J. Field and R. M. Noyes as a model for the oscillating chemical reaction first studied by B. P. Belousov and A. M. Zhabotinskii. In this paper it is shown that the associated diffusion equations have periodic plane waves for parameter values not covered in earlier work. This amounts to studying a singularly perturbed system when nothing is known about the stability of periodic solutions for the reduced system.
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机译:Oregonator 是一组由 R. J. Field 和 R. M. Noyes 提出的微分方程,作为 B. P. Belousov 和 A. M. Zhabotinskii 首次研究的振荡化学反应的模型。在本文中,表明相关的扩散方程具有早期工作中未涉及的参数值的周期平面波。这相当于研究一个奇异扰动系统,而对简化系统的周期解的稳定性一无所知。
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